Answer:
K.E = 0.0075 J
Explanation:
Given data:
Mass of the ball = 1.5 kg
radius, r = 50 cm = 0.5 m
Angular speed, ω = 12 rev/min = (12/60) rev/sec = 0.2 rev/sec
Now,
the kinetic energy is given as:
K.E =
where,
I is the moment of inertia = mr²
on substituting the values, we get
or
K.E = 0.0075 J
Answer:
Explanation:
the maximum speed is reached when the drag force and the weight are at equilibrium, therefore:
To calculate the velocity after 100 meters, we can no longer assume equilibrium, therefore:
(1)
consider the next equation of motion:
If assuming initial velocity=0:
(2)
joining (1) and (2):
(3)
To plot velocity as a function of distance, just plot equation (3).
To plot velocity as a function of time, you have to consider the next equation of motion:
as stated before, the initial velocity is 0:
(4)
joining (1) and (4) and reducing you will get:
solving for v:
Plots:
